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Finding the Third Proportional to 85,871 and 187,000

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Solution

The third proportional to 85,871 and 187,000 is: 407,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,871 : 187,000 = 187,000 : x
  2. Step 2: Convert to fraction form
    85,871/187,000 = 187,000/x
  3. Step 3: Cross multiply
    85,871x = 187,000 × 187,000
  4. Step 4: Simplify right side
    85,871x = 34,969,000,000
  5. Step 5: Solve for x
    x = 34,969,000,000/85,871
  6. Step 6: Final answer
    x = 407,227.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.